Thursday

October 23, 2014

October 23, 2014

Posted by **Grace** on Thursday, January 19, 2012 at 3:09am.

Use the fact that a and b add up to 10 to find the value of theta.

- Precalc -
**drwls**, Thursday, January 19, 2012 at 6:28amNot without the figure. I cannot visualize the situation from your verbal description. Perhaps another teacher can.

- Precalc -
**Steve**, Thursday, January 19, 2012 at 11:09amYou end up with a rotated square of side 8, surrounded by 4 right triangles of sides x and 10-x.

x^2 + (10-x)^2 = 64

x^2 + 100 - 20x + x^2 = 64

2x^2 - 20x + 36 = 0

x^2 - 10x + 18 = 0

x = 5 ± √7 = 2.35 or 7.65

if we let x be the smaller value, then

tanθ = 2.35/7.65 = 0.307

θ = 17°

- Precalc -
**Grace**, Thursday, January 19, 2012 at 1:03pmThank you so so so much! I've been stuck on this for hours!

**Answer this Question**

**Related Questions**

Precalculus - The figure shows a 10 x 10 square centered at the origin. The ...

Geometry - Dilation of a square - The preimage of square ABCD has its center at...

Geometry - Calculate the area of the shaded region in the figure shown. the ...

geometry - how do i find the probability that a point in a figue lies in the ...

math - The figure shows 2 similar squares, A and B which overlap each other. The...

Math word problem - A small circular pool is enclosed in a square. Find the area...

Math - I need help with this problem. (Just imagine a small square with 5x-1 at ...

geometry - There is a square with a star inside. The square has 25cm to show the...

math - New photo imaging techniques on computers allow artists to distort an ...

maths - Consider the equation x(square) + 4px + 2q = 0 where p and q are real ...